Asymptotic stability conditions for linear time-delay systems

1985 ◽  
Vol 105 (2) ◽  
pp. 138-144 ◽  
Author(s):  
Takehiro Mori
Keyword(s):  
Time Delay ◽  
Asymptotic Stability ◽  
Linear Time ◽  
Delay Systems ◽  
Stability Conditions ◽  
Time Delay Systems ◽  
Asymptotic Stability Conditions

ROBUST STABILITY ANALYSIS OF LINEAR PERIODIC SYSTEMS WITH TIME DELAY

2009 ◽  
Vol 24 (05) ◽  
pp. 893-907 ◽  
Author(s):  
OLGA N. LETYAGINA ◽  
ALEXEY P. ZHABKO
Keyword(s):  
Time Delay ◽  
Robust Stability ◽  
Linear Time ◽  
Delay Systems ◽  
Periodic Systems ◽  
Stability Conditions ◽  
Time Delay Systems ◽  
Free System ◽  
Robust Stability Analysis ◽  
Linear Periodic Systems

In this paper, a procedure for construction of quadratic Lyapunov-Krasovskii functionals for linear time delay systems with periodic coefficients is proposed. Functionals are used to derive robust stability conditions. The problem of computation of Lyapunov matrices for functionals is reduced to computation of solutions of an auxiliary two-point boundary problem for a special delay free system of matrix equation.

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